114185472 has 72 divisors (see below), whose sum is σ = 306158496. Its totient is φ = 37779456.

The previous prime is 114185453. The next prime is 114185521. The reversal of 114185472 is 274581411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120103 + ... + 121049.

Almost surely, 2^114185472 is an apocalyptic number.

114185472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114185472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153079248).

114185472 is an abundant number, since it is smaller than the sum of its proper divisors (191973024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114185472 is an equidigital number, since it uses as much as digits as its factorization.

114185472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1109 counting only the distinct ones).

The product of its digits is 8960, while the sum is 33.

The square root of 114185472 is about 10685.7602443626. The cubic root of 114185472 is about 485.1435745976.

The spelling of 114185472 in words is "one hundred fourteen million, one hundred eighty-five thousand, four hundred seventy-two".